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Finding the Fourth Proportional to 17,295.21, 25,941.60 and 9,876.42

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Solution

The fourth proportional to 17,295.21, 25,941.60 and 9,876.42 is: 14,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,295.21 : 25,941.60 = 9,876.42 : x
  2. Step 2: Convert to fraction form
    17,295.21/25,941.60 = 9,876.42/x
  3. Step 3: Cross multiply
    17,295.21x = 25,941.60 × 9,876.42
  4. Step 4: Simplify right side
    17,295.21x = 256,210,137.07
  5. Step 5: Solve for x
    x = 256,210,137.07/17,295.21
  6. Step 6: Final answer
    x = 14,813.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.